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Finding the Fourth Proportional to 30,596.99, 45,851.72 and 17,422.16

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Solution

The fourth proportional to 30,596.99, 45,851.72 and 17,422.16 is: 26,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.99 : 45,851.72 = 17,422.16 : x
  2. Step 2: Convert to fraction form
    30,596.99/45,851.72 = 17,422.16/x
  3. Step 3: Cross multiply
    30,596.99x = 45,851.72 × 17,422.16
  4. Step 4: Simplify right side
    30,596.99x = 798,835,685.75
  5. Step 5: Solve for x
    x = 798,835,685.75/30,596.99
  6. Step 6: Final answer
    x = 26,108.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.